Number Theory: An Introduction via the Distribution of Primes by Benjamin Fine and Gerhard Rosenberger
English | 2006-10-16 | ISBN: 0817644725 | 349 pages | PDF | 2,2 mb
English | 2006-10-16 | ISBN: 0817644725 | 349 pages | PDF | 2,2 mb
This book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique approach provides both a firm background in the standard material as well as an overview of the whole discipline. All the essential topics are covered: fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes.
Analytic number theory and algebraic number theory both receive a solid introductory treatment. The book’s user-friendly style, historical context, and wide range of exercises make it ideal for self study and classroom use.